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Finding the Fourth Proportional to 413.50, 617.36 and 352.66

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Solution

The fourth proportional to 413.50, 617.36 and 352.66 is: 526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.50 : 617.36 = 352.66 : x
  2. Step 2: Convert to fraction form
    413.50/617.36 = 352.66/x
  3. Step 3: Cross multiply
    413.50x = 617.36 × 352.66
  4. Step 4: Simplify right side
    413.50x = 217,718.18
  5. Step 5: Solve for x
    x = 217,718.18/413.50
  6. Step 6: Final answer
    x = 526.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.